Browsing Analysis of Partial Differential Equations (APDE) by Subject "Conical layers"
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Spectral asymptotics of the Dirichlet Laplacian in a conical layer
(2015-05-01)The spectrum of the Dirichlet Laplacian on conical layers is analysed through two aspects: the infiniteness of the discrete eigenvalues and their expansions in the small aperture limit. On the one hand, we prove that, for ...